Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
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Publication:4494603
DOI<1549::AID-NME842>3.0.CO;2-K 10.1002/(SICI)1097-0207(20000330)47:9<1549::AID-NME842>3.0.CO;2-KzbMath0989.74067OpenAlexW2113539312MaRDI QIDQ4494603
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Publication date: 7 August 2000
Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(20000330)47:9<1549::aid-nme842>3.0.co;2-k
finite elementssuperconvergencelinear interpolation functionsfinite volume elementnode-based uniform strain elements
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite volume methods applied to problems in solid mechanics (74S10)
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Cites Work
